Point and contact equivalence groupoids of two-dimensional quasilinear hyperbolic equations

Abstract

We describe the point and contact equivalence groupoids of an important class of two-dimensional quasilinear hyperbolic equations. In particular, we prove that this class is normalized in the usual sense with respect to point transformations, and its contact equivalence groupoid is generated by the first-order prolongation of its point equivalence groupoid, the contact vertex group of the wave equation and a family of contact admissible transformations between trivially Darboux-integrable equations.

8 pages, minor corrections

References in corpus (3)

• Generalization of the algebraic method of group classification with application to nonlinear wave and elliptic equations
• Equivalence groupoid and group classification of a class of variable-coefficient Burgers equations
• Equivalence groupoids and group classification of multidimensional nonlinear Schrödinger equations

Cited by in corpus (3)

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